13845312 has 126 divisors (see below), whose sum is σ = 43754802. Its totient is φ = 4161024.

The previous prime is 13845301. The next prime is 13845317. The reversal of 13845312 is 21354831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 4260096 = 3096^2 + 2064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 321963 + ... + 322005.

Almost surely, 2^13845312 is an apocalyptic number.

13845312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877401).

13845312 is an abundant number, since it is smaller than the sum of its proper divisors (29909490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13845312 is a wasteful number, since it uses less digits than its factorization.

13845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 61 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13845312 is about 3720.9289162788. The cubic root of 13845312 is about 240.1232700079.

The spelling of 13845312 in words is "thirteen million, eight hundred forty-five thousand, three hundred twelve".